F(x) = ax 2 + bx + c. Jika F(1) = -4, F(0) = -3 dan F(-1) = 10. Tentukan F(x)
Jawab:
Penjelasan dengan langkah-langkah:
f(x) = a + bx + c
f(1) = a + b + c = -4…(1)
f(0) = c = -3
f(-1) = a – b + c = 10…(2)
Substitusi c = -3
a + b – 3 = -4…(1)
a + b = -1
a – b – 3 = -4…(2)
a – b = -1
Eliminasi persamaan (1) dan (2)
a + b = -1
a – b = -1
———— –
2b = 0
b = 0
a – 0 = -1
a = -1
Diketahui a = -1, b = 0, dan c = -3
Maka f(x) = – 3